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Finding the Third Proportional to 389,427.75 and 841,131.84

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Solution

The third proportional to 389,427.75 and 841,131.84 is: 1,816,775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,427.75 : 841,131.84 = 841,131.84 : x
  2. Step 2: Convert to fraction form
    389,427.75/841,131.84 = 841,131.84/x
  3. Step 3: Cross multiply
    389,427.75x = 841,131.84 × 841,131.84
  4. Step 4: Simplify right side
    389,427.75x = 707,502,778,570.27
  5. Step 5: Solve for x
    x = 707,502,778,570.27/389,427.75
  6. Step 6: Final answer
    x = 1,816,775.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.